Deterministic growth model of pattern formation in dendritic solidification

F. Family, D. E. Platt, T. Vicsek

Research output: Contribution to journalArticle

36 Citations (Scopus)

Abstract

A deterministic growth process, based on the solution of the lattice Laplace equation for the temperature field, is introduced for modelling pattern formation in dendritic solidification. By a simple parameterisation of the physical and environmental conditions during crystal growth a wide variety of dendritic patterns, similar to regular snowflakes, are produced. The fractal scaling of the dendritic patterns is investigated.

Original languageEnglish
Article number009
JournalJournal of Physics A: Mathematical and General
Volume20
Issue number17
DOIs
Publication statusPublished - 1987

Fingerprint

Laplace equation
Deterministic Model
Solidification
Pattern Formation
Crystallization
Growth Model
Parameterization
Crystal growth
Fractals
solidification
Temperature distribution
Crystal Growth
Growth Process
Laplace's equation
Temperature Field
Fractal
Scaling
parameterization
crystal growth
fractals

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Physics and Astronomy(all)
  • Mathematical Physics

Cite this

Deterministic growth model of pattern formation in dendritic solidification. / Family, F.; Platt, D. E.; Vicsek, T.

In: Journal of Physics A: Mathematical and General, Vol. 20, No. 17, 009, 1987.

Research output: Contribution to journalArticle

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